(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

assume that the equation xyz=1 holds in a group G. does it follow that yzx=1? yxz=1?

3. The attempt at a solution

My thoughts are the following:

Since in the problem, it does not state that G is an abelian group, we cannot assume the law of composition is commutitive. thus, it doesn not follow that yzx or yxz =1.

Is this correct?

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# Homework Help: Calculations in a group

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